Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 2 - Reasoning and Proof - 2-3 Biconditionals and Definitions - Practice and Problem-Solving Exercises - Page 101: 15

Answer

If you live in Washington, D.C., then you live in the capital of the United States. If you live in the capital of the United States, then you live in Washington, D.C.

Work Step by Step

The phrases on either side of "if and only if" in a biconditional can be used as the hypothesis and conclusion of a conditional and its converse. Recall that the converse of a conditional switches the hypothesis and conclusion.
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